halp pls asap

Let's define some variables to help us solve the problem. Let's set the smallest number as n. 

We have $n + n+1 + n+2 ....... n+6 = 7n + 21$

Since the sum of the integers add up to 28/5 times the largest number, which is n+6, we can write the equation

$7n+21=28/5(n+6)$

Now, we simply solve for n. We get

$7n+21=\frac{28}{5}n + 168/5\\ 7/5n=63/5$

Multiplying both sides by 5/7, we get $n=\frac{63}{5} \cdot \frac{5}{7}=9$

So our final answer is 9. 

Thanks! :)